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lana66690 [7]
3 years ago
8

What is the range of possible sizes for side x?

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:

6<8>

Step-by-step explanation:

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When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
Pls help 0.5a = 2a + 3
spayn [35]

Answer:

-2

Step-by-step explanation:

0.5a=2a+3

a=-2

PLEASE MARK BRAINLIEST

5 0
3 years ago
What is 4,000,000 times 5
Nesterboy [21]
20,000,000 is the answer fren
4 0
4 years ago
Read 2 more answers
COULD YOU GUYS HELP ME WITH 6 AND 7 PLEASE
d1i1m1o1n [39]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

type \: 1 \: MSD \: s \: appropriate \: length  :  \\ vessels \: equal \: to \: or \: less \: than \:   \: 65 \:  \\ feet \: in \: length \\ option \: a) \: is \: the \: correct \: answer. \\ type \: 2 \: MSD \: s \: appropriate \: length   \\ vessels \: that \: are \: greater \: than \: 65 \:  \\ feet \: in \: length. \\ note  : Vessels 65 \: feet \:  or  less in length  \\ may use a Type I, II, or III MSD.  \\ Vessels more than 65 feet in length must \\  install a Type II or III MSD.

<em>HAVE </em><em>A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

7 0
3 years ago
Which statement about the following graph is correct?
Vilka [71]
Can you plz attach an image of the graph :O
4 0
3 years ago
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